2421000000 has 294 divisors, whose sum is σ = 8706333870. Its totient is φ = 643200000.

The previous prime is 2420999957. The next prime is 2421000013. The reversal of 2421000000 is 1242.

It can be written as a sum of positive squares in 7 ways, for example, as 2215020096 + 205979904 = 47064^2 + 14352^2 .

It is a super-2 number, since 2×2421000000² = 11722482000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8999866 + ... + 9000134.

Almost surely, 2^2421000000 is an apocalyptic number.

2421000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353166935).

2421000000 is an abundant number, since it is smaller than the sum of its proper divisors (6285333870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2421000000 is an frugal number, since it uses more digits than its factorization.

2421000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2421000000 is about 49203.6584005702. The cubic root of 2421000000 is about 1342.7595910941.

Adding to 2421000000 its reverse (1242), we get a palindrome (2421001242).

The spelling of 2421000000 in words is "two billion, four hundred twenty-one million", and thus it is an aban number.